When Tony was cleaning his refrigerator he found 2 bottles of mayo. Looking at the labels, he noticed that the capacity of the larger bottle was twice the capacity of the smaller bottle. He estimated that the smaller bottle was about $\displaystyle \frac{1}{3}$ full of mayo and the larger bottle was about $\displaystyle \frac{2}{3}$ full of mayo. He poured all the mayo from the smaller bottle into the larger bottle. Then, about how full was the larger bottle?